Exposed points in the set of representing measures for the disc algebra

Tom 61 / 1995

Alexander Izzo Annales Polonici Mathematici 61 (1995), 59-62 DOI: 10.4064/ap-61-1-59-62

Streszczenie

It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.

Autorzy

  • Alexander Izzo

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